The chapters in this timely volume aim to answer the growing
interest in Arthur Schopenhauer's logic, mathematics, and
philosophy of language by comprehensively exploring his work on
mathematical evidence, logic diagrams, and problems of semantics.
Thus, this work addresses the lack of research on these subjects in
the context of Schopenhauer's oeuvre by exposing their links to
modern research areas, such as the "proof without words" movement,
analytic philosophy and diagrammatic reasoning, demonstrating its
continued relevance to current discourse on logic. Beginning with
Schopenhauer's philosophy of language, the chapters examine the
individual aspects of his semantics, semiotics, translation theory,
language criticism, and communication theory. Additionally,
Schopenhauer's anticipation of modern contextualism is analyzed.
The second section then addresses his logic, examining proof
theory, metalogic, system of natural deduction, conversion theory,
logical geometry, and the history of logic. Special focus is given
to the role of the Euler diagrams used frequently in his lectures
and their significance to broader context of his logic. In the
final section, chapters discuss Schopenhauer's philosophy of
mathematics while synthesizing all topics from the previous
sections, emphasizing the relationship between intuition and
concept. Aimed at a variety of academics, including researchers of
Schopenhauer, philosophers, historians, logicians, mathematicians,
and linguists, this title serves as a unique and vital resource for
those interested in expanding their knowledge of Schopenhauer's
work as it relates to modern mathematical and logical study.
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